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A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find the velocity of the crate when it reaches height h'.

A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find the velocity of the crate when it reaches height h'.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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A cylinder of radius R and mass M is tied to a rope that connects it to a box of mass m, through a pulley of radius R and mass m, as shown in the figure. Assume that to the left of the pulley there is friction on the floor such that the cylinder rolls without slipping, while to the right of the pulley the incline on which the crate slides is frictionless. If m > M and knowing that the box starts from rest at a height h, use the equations of translational and rotational dynamics to find the velocity of the crate when it reaches height h'.
M Songs m
Transcribed Image Text:M Songs m
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